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二阶隐式微分方程四点积分边值问题解的存在唯一性 被引量:1

Existence and Uniqueness of Solution for the Four-Point Integral Boundary Valve Problem of a Second-order Implicit Differential Equation
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摘要 本文研究了一类二阶隐式微分方程四点积分边值问题解的存在唯一性,利用压缩映像原理获得到了解的存在性结果。 In this paper, the existence and uniqueness of solution for the four-point integral boundary valve problem of a second-order implicit differential equation is discussed. In addition, the existence result of solution is obtained with contraction mapping principle.
作者 姚晓斌
出处 《长春师范学院学报(自然科学版)》 2013年第2期6-7,共2页 Journal of Changchun Teachers College
关键词 隐式常微分方程 压缩映像原理 存在唯一性 implicit ordinary differential equations contraction mapping principle existence and uniqueness
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参考文献5

  • 1Agarwal, R.P.Two-po int problems fo r non-linear second order differential equat ions[J].J.Math.Phys.Sci. 1974(8):571-576.
  • 2Das,K.M .and Lalli,B.S.Boundary value problems for y" =f( x,y,y' ,y" )[J].J.Math.Analysis Applie.1981,81: 300-307.
  • 3Agarwal, R.P.On boundary value problems for y" =f(x,y,y' ,y" )Bulletin of the institute of mathematics[J].Academia,sinica, 1984,12 (2):153-157.
  • 4Bax ley,l.V.and Brown,S.E.Existence and uniqueness for two-point boundary value problems[J].Proceedings of the Roy al Society of Edinburgh,1981,88A:219-234.
  • 5D.Guo,J.Sun.Nonlinear Integral Equations[M].Jinan:Shandong Science and Echnology Press, 1987(in Chinese).

同被引文献5

  • 1Agarwal. R. P. Two-point problems for non-linear second order differential equations[J].Math Phys Sci,1974,(211):571-576.
  • 2Das,K.M,Lalli,B. S. Boundary value problems for y″=f(x, y, y′,y″)[J].Math Analysis Applic,1981,(43):300-307.
  • 3Agarwal,R.P. On boundary value problems for y″=f(x, y, y′,y″)[J].Bulletin of the institute of mathematics academia sinica,1984,(02):153-157.
  • 4Baxley,J. V,Brown,S. E. Existence and uniqueness for two-point boundary value problems[J].Proceedings of the Royal Society of Edinburgh,1981.219-234.
  • 5姚晓斌.一类二阶两点边值问题解的存在唯一性[J].湖南工程学院学报(自然科学版),2013,23(1):65-66. 被引量:1

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